131425200 has 240 divisors, whose sum is σ = 480346240. Its totient is φ = 34110720.

The previous prime is 131425199. The next prime is 131425237. The reversal of 131425200 is 2524131.

131425200 is a `hidden beast` number, since 1 + 3 + 142 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464259 + ... + 464541.

Almost surely, 2^131425200 is an apocalyptic number.

131425200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240173120).

131425200 is an abundant number, since it is smaller than the sum of its proper divisors (348921040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131425200 is a wasteful number, since it uses less digits than its factorization.

131425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131425200 is about 11464.0830422673. The cubic root of 131425200 is about 508.4242018570.

Adding to 131425200 its reverse (2524131), we get a palindrome (133949331).

The spelling of 131425200 in words is "one hundred thirty-one million, four hundred twenty-five thousand, two hundred".